122763648 has 128 divisors (see below), whose sum is σ = 376992000. Its totient is φ = 34670592.

The previous prime is 122763623. The next prime is 122763691. The reversal of 122763648 is 846367221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292783 + ... + 293201.

It is an arithmetic number, because the mean of its divisors is an integer number (2945250).

Almost surely, 2^122763648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188496000).

122763648 is an abundant number, since it is smaller than the sum of its proper divisors (254228352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122763648 is a wasteful number, since it uses less digits than its factorization.

122763648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 122763648 is about 11079.8758115784. The cubic root of 122763648 is about 497.0002361586. Note that the first 3 decimals are identical.

The spelling of 122763648 in words is "one hundred twenty-two million, seven hundred sixty-three thousand, six hundred forty-eight".